103825680 has 160 divisors (see below), whose sum is σ = 383975424. Its totient is φ = 22691328.

The previous prime is 103825651. The next prime is 103825697. The reversal of 103825680 is 86528301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37297 + ... + 39983.

Almost surely, 2^103825680 is an apocalyptic number.

103825680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191987712).

103825680 is an abundant number, since it is smaller than the sum of its proper divisors (280149744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103825680 is a wasteful number, since it uses less digits than its factorization.

103825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 103825680 is about 10189.4887015983. The cubic root of 103825680 is about 470.0040440274.

The spelling of 103825680 in words is "one hundred three million, eight hundred twenty-five thousand, six hundred eighty".